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On the asymptotical behavior of nonautonomous dynamical systems

โœ Scribed by Wang Yejuan; Li Desheng; P.E. Kloeden

Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
247 KB
Volume
59
Category
Article
ISSN
0362-546X

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โœฆ Synopsis

The uniform asymptotical behavior of nonautonomous dynamical systems and their attractors is investigated. In particular, it is shown that parametrically inflated pullback attractors are uniformly forward attracting and, also that, under appropriate conditions, the component sets of the pullback attractor A of a system form an almost periodic setvalued mapping t โ†’ A t (p) when its driving system is almost periodic. This, together with the attraction properties of A, demonstrates that almost periodic systems exhibit global almost periodic asymptotic behavior.

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